oj.uz

Submission #1074303

# Submission time Handle Problem Language Result Execution time Memory
1074303 2024-08-25T09:35:21 Z joelgun14 Growing Vegetables is Fun 5 (JOI24_vegetables5) C++17
30 / 100
 5000 ms 88676 KB 
// header file
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
// pragma
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
// macros
// #define endl "\n"
#define ll long long
#define mp make_pair
#define ins insert
#define lb lower_bound
#define pb push_back
#define ub upper_bound
#define lll __int128
#define fi first
#define se second
using namespace std;
using namespace __gnu_pbds;
typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_multiset;
typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set;
const int lim = 6e5 + 5;
struct fenwick {
  int a[lim];
  fenwick() {
    memset(a, 0, sizeof(a));
  }
  void update(int idx, int val) {
    // cerr << idx << endl;
    assert(idx > 0);
    while(idx < lim) {
      a[idx] += val;
      idx += idx&-idx;
    }
  }
  void update(int l, int r, int val) {
    if(l > r)
      return;
    update(l, val);
    update(r + 1, -val);
  }
  int query(int idx) {
    if(idx >= lim)
      idx = lim - 1;
    ll res = 0;
    while(idx) {
      res += a[idx];
      idx -= idx&-idx;
    }
    return res;
  }
};
int main() {
  ios_base::sync_with_stdio(0); cin.tie(NULL);
  int n;
  cin >> n;
  int a[2 * n + 5];
  for(int i = 1; i <= 2 * n; ++i)
    cin >> a[i];
  int b[n + 5], c[n + 5];
  for(int i = 1; i <= n; ++i)
    cin >> b[i];
  for(int i = 1; i <= n; ++i)
    cin >> c[i];
  sort(b + 1, b + n + 1);
  sort(c + 1, c + n + 1);
  int l = 0, r = 1e9, res = -1;
  vector<pair<int, int>> v;
  for(int i = 1; i <= 2 * n; ++i)
    v.pb(mp(a[i], i));
  sort(v.begin(), v.end());
  while(l <= r) {
    int mid = (l + r) >> 1;
    // max diff -> mid
    // try each partition what is the max diff
    // nanti ada banyak validity test, tinggal cek validity testnya mana aja
    pair<int, int> validb[2 * n + 5], validr[2 * n + 5];
    for(int i = 1; i <= 2 * n; ++i) {
      // idx of element >= a[i] - mid
      validb[i].fi = lower_bound(b + 1, b + n + 1, a[i] - mid) - b;
      // idx of element <= a[i] + mid
      validb[i].se = upper_bound(b + 1, b + n + 1, a[i] + mid) - b - 1;
      // idx of element >= a[i] - mid
      validr[i].fi = lower_bound(c + 1, c + n + 1, a[i] - mid) - c;
      // idx of element <= a[i] + mid
      validr[i].se = upper_bound(c + 1, c + n + 1, a[i] + mid) - c - 1;
      // if(mid == 1) {
      //   cerr << a[i] + mid << " " << upper_bound(c + 1, c + n + 1, a[i] + mid) - c - 1 << " " << validr[i].se << endl;
      // }
    }
    fenwick cur;
    set<int> blue, red;
    for(int i = 1; i <= 2 * n; ++i)
      blue.ins(i), red.ins(i);
    for(auto p : v) {
      // process
      // cerr << "UPDATE" << endl;
      cur.update(max(1, p.se - n + 1), p.se, 1);
      // observe that blue on left/right of that segment can be invalid
      auto it = blue.begin();
      int idx = p.se;
      // cerr << "TEST" << endl;
      while(blue.size() && (it = blue.lb(p.se - n + 1)) != blue.end() && *it <= p.se) {
        if(cur.query(*it) < validb[idx].fi || cur.query(*it) > validb[idx].se)
          blue.erase(it);
        else
          break;
      }
      while(blue.size() && (it = blue.ub(p.se)) != blue.begin() && *--it >= p.se - n + 1) {
        if(cur.query(*it) < validb[idx].fi || cur.query(*it) > validb[idx].se)
          blue.erase(it);
        else
          break;
      }
      if(p.se <= n) {
        cur.update(p.se + n + 1, 2 * n, 1);
        // observe that blue on left/right of that segment can be invalid
        while(blue.size() && (it = blue.lb(p.se + n + 1)) != blue.end() && *it <= p.se + 2 * n) {
          if(cur.query(*it) < validb[idx].fi || cur.query(*it) > validb[idx].se)
            blue.erase(it);
          else
            break;
        }
        while(blue.size() && (it = blue.ub(p.se + 2 * n)) != blue.begin() && *--it >= p.se + n + 1) {
          if(cur.query(*it) < validb[idx].fi || cur.query(*it) > validb[idx].se)
            blue.erase(it);
          else
            break;
        } 
      }
      // cerr << "TEST" << endl;
      while(red.size() && (it = red.lb(p.se - n + 1)) != red.end() && *it <= p.se) {
        // cerr << "check " << *it << " due to " << p.se << " " << cur.query(*it) << " " << validr[idx].fi << endl; 
        if(cur.query(*it) < validr[idx].fi || cur.query(*it) > validr[idx].se) {
          // cerr << "delete1 " << *it << " due to " << p.se << endl;
          red.erase(it);
        }
        else
          break;
      }
      while(red.size() && (it = red.ub(p.se)) != red.begin() && *--it >= p.se - n + 1) {
        // cerr << "check " << *it << " due to " << p.se << " " << cur.query(*it) << " " << validr[idx].se << endl; 
        if(cur.query(*it) < validr[idx].fi || cur.query(*it) > validr[idx].se) {
          // cerr << "delete2 " << *it << " due to " << p.se << endl;
          red.erase(it);
        }
        else
          break;
      }
      if(p.se <= n) {
        // observe that red on left/right of that segment can be invalid
        while(red.size() && (it = red.lb(p.se + n + 1)) != red.end() && *it <= p.se + 2 * n) {
          // cerr << "check " << *it << " due to " << p.se << " " << cur.query(*it) << " " << validr[idx].fi << endl; 
          if(cur.query(*it) < validr[idx].fi || cur.query(*it) > validr[idx].se) {
            // cerr << "delete " << *it << " due to " << p.se << endl;
            red.erase(it);
          }
          else
            break;
        }
        while(red.size() && (it = red.ub(p.se + 2 * n)) != red.begin() && *--it >= p.se + n + 1) {
          // cerr << "check " << *it << " due to " << p.se << " " << cur.query(*it) << " " << validr[idx].se << endl; 
          int tmp2 = cur.query(*it);
          if(tmp2 < validr[idx].fi || tmp2 > validr[idx].se) {
            // cerr << "delete " << *it << " due to " << p.se << endl;
            red.erase(it);
          }
          else
            break;
        } 
      }
    }
    // blue and red have to complement each other
    bool ans = 0;
    for(auto x : blue) {
      if(red.count(x - n) || red.count(x + n))
        ans = 1;
    }
    /*
    if(mid <= 20) {
      cerr << "DEBUG " << mid << endl;
      for(auto x : red) {
        cerr << x << " ";
      }
      cerr << endl;
      for(auto x : blue) {
        cerr << x << " ";
      }
      cerr << endl;
    }
    */
    if(ans) 
      r = mid - 1, res = mid;
    else
      l = mid + 1;
  }
  cout << res << endl;
  // choose a contiguous segment L to R such that we use one color
  // N^2 approach -> pair greedily (sorted)
  // int res = 1e9;
  // for(int i = 1; i + n <= 2 * n + 1; ++i) {
  //   vector<int> blue, red;
  //   for(int j = 1; j < i; ++j) {
  //     blue.pb(a[j]);
  //   }
  //   for(int j = i; j < i + n; ++j) {
  //     red.pb(a[j]);
  //   }
  //   for(int j = i + n; j <= 2 * n; ++j) {
  //     blue.pb(a[j]);
  //   }
  //   sort(blue.begin(), blue.end());
  //   sort(red.begin(), red.end());
  //   int mx = 0;
  //   for(int k = 1; k <= n; ++k) {
  //     mx = max({mx, abs(blue[k - 1] - b[k]), abs(red[k - 1] - c[k])});
  //   }
  //   res = min(res, mx);
  //   mx = 0;
  //   swap(red, blue);
  //   for(int k = 1; k <= n; ++k) {
  //     mx = max({mx, abs(blue[k - 1] - b[k]), abs(red[k - 1] - c[k])});
  //   }
  //   res = min(res, mx);
  // }
  // cout << res << endl;
  return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 2652 KB Output is correct
2 Correct 3 ms 2652 KB Output is correct
3 Correct 4 ms 2648 KB Output is correct
4 Correct 3 ms 2800 KB Output is correct
5 Correct 3 ms 2652 KB Output is correct
6 Correct 4 ms 2800 KB Output is correct
7 Correct 4 ms 2908 KB Output is correct
8 Correct 4 ms 2652 KB Output is correct
9 Correct 4 ms 2652 KB Output is correct
10 Correct 4 ms 2900 KB Output is correct
11 Correct 3 ms 2652 KB Output is correct
12 Correct 3 ms 2652 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 2652 KB Output is correct
2 Correct 3 ms 2652 KB Output is correct
3 Correct 4 ms 2648 KB Output is correct
4 Correct 3 ms 2800 KB Output is correct
5 Correct 3 ms 2652 KB Output is correct
6 Correct 4 ms 2800 KB Output is correct
7 Correct 4 ms 2908 KB Output is correct
8 Correct 4 ms 2652 KB Output is correct
9 Correct 4 ms 2652 KB Output is correct
10 Correct 4 ms 2900 KB Output is correct
11 Correct 3 ms 2652 KB Output is correct
12 Correct 3 ms 2652 KB Output is correct
13 Correct 4 ms 2652 KB Output is correct
14 Correct 4 ms 2652 KB Output is correct
15 Correct 4 ms 2800 KB Output is correct
16 Correct 4 ms 2652 KB Output is correct
17 Correct 5 ms 2800 KB Output is correct
18 Correct 4 ms 2652 KB Output is correct
19 Correct 5 ms 2652 KB Output is correct
20 Correct 3 ms 2652 KB Output is correct
21 Correct 3 ms 2652 KB Output is correct
22 Correct 4 ms 2652 KB Output is correct
23 Correct 4 ms 2652 KB Output is correct
24 Correct 4 ms 2652 KB Output is correct
25 Correct 3 ms 2648 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 2652 KB Output is correct
2 Correct 3 ms 2652 KB Output is correct
3 Correct 4 ms 2648 KB Output is correct
4 Correct 3 ms 2800 KB Output is correct
5 Correct 3 ms 2652 KB Output is correct
6 Correct 4 ms 2800 KB Output is correct
7 Correct 4 ms 2908 KB Output is correct
8 Correct 4 ms 2652 KB Output is correct
9 Correct 4 ms 2652 KB Output is correct
10 Correct 4 ms 2900 KB Output is correct
11 Correct 3 ms 2652 KB Output is correct
12 Correct 3 ms 2652 KB Output is correct
13 Correct 4 ms 2652 KB Output is correct
14 Correct 4 ms 2652 KB Output is correct
15 Correct 4 ms 2800 KB Output is correct
16 Correct 4 ms 2652 KB Output is correct
17 Correct 5 ms 2800 KB Output is correct
18 Correct 4 ms 2652 KB Output is correct
19 Correct 5 ms 2652 KB Output is correct
20 Correct 3 ms 2652 KB Output is correct
21 Correct 3 ms 2652 KB Output is correct
22 Correct 4 ms 2652 KB Output is correct
23 Correct 4 ms 2652 KB Output is correct
24 Correct 4 ms 2652 KB Output is correct
25 Correct 3 ms 2648 KB Output is correct
26 Correct 84 ms 3160 KB Output is correct
27 Correct 76 ms 3332 KB Output is correct
28 Correct 86 ms 3160 KB Output is correct
29 Correct 6 ms 2652 KB Output is correct
30 Correct 61 ms 3320 KB Output is correct
31 Correct 73 ms 3164 KB Output is correct
32 Correct 46 ms 3072 KB Output is correct
33 Correct 19 ms 2932 KB Output is correct
34 Correct 54 ms 3160 KB Output is correct
35 Correct 98 ms 3340 KB Output is correct
36 Correct 66 ms 3160 KB Output is correct
37 Correct 62 ms 3420 KB Output is correct
38 Correct 80 ms 3364 KB Output is correct
39 Correct 62 ms 3160 KB Output is correct
40 Correct 71 ms 3164 KB Output is correct

Subtask #4
0 / 37.0

# Verdict Execution time Memory Grader output
1 Execution timed out 5019 ms 88676 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 2652 KB Output is correct
2 Correct 3 ms 2652 KB Output is correct
3 Correct 4 ms 2648 KB Output is correct
4 Correct 3 ms 2800 KB Output is correct
5 Correct 3 ms 2652 KB Output is correct
6 Correct 4 ms 2800 KB Output is correct
7 Correct 4 ms 2908 KB Output is correct
8 Correct 4 ms 2652 KB Output is correct
9 Correct 4 ms 2652 KB Output is correct
10 Correct 4 ms 2900 KB Output is correct
11 Correct 3 ms 2652 KB Output is correct
12 Correct 3 ms 2652 KB Output is correct
13 Correct 4 ms 2652 KB Output is correct
14 Correct 4 ms 2652 KB Output is correct
15 Correct 4 ms 2800 KB Output is correct
16 Correct 4 ms 2652 KB Output is correct
17 Correct 5 ms 2800 KB Output is correct
18 Correct 4 ms 2652 KB Output is correct
19 Correct 5 ms 2652 KB Output is correct
20 Correct 3 ms 2652 KB Output is correct
21 Correct 3 ms 2652 KB Output is correct
22 Correct 4 ms 2652 KB Output is correct
23 Correct 4 ms 2652 KB Output is correct
24 Correct 4 ms 2652 KB Output is correct
25 Correct 3 ms 2648 KB Output is correct
26 Correct 84 ms 3160 KB Output is correct
27 Correct 76 ms 3332 KB Output is correct
28 Correct 86 ms 3160 KB Output is correct
29 Correct 6 ms 2652 KB Output is correct
30 Correct 61 ms 3320 KB Output is correct
31 Correct 73 ms 3164 KB Output is correct
32 Correct 46 ms 3072 KB Output is correct
33 Correct 19 ms 2932 KB Output is correct
34 Correct 54 ms 3160 KB Output is correct
35 Correct 98 ms 3340 KB Output is correct
36 Correct 66 ms 3160 KB Output is correct
37 Correct 62 ms 3420 KB Output is correct
38 Correct 80 ms 3364 KB Output is correct
39 Correct 62 ms 3160 KB Output is correct
40 Correct 71 ms 3164 KB Output is correct
41 Execution timed out 5019 ms 88676 KB Time limit exceeded
42 Halted 0 ms 0 KB -